caa a22 4500 469041439 CHVBK 20180323132812.0 cr unu---uuuuu 170328e19920101xx s 000 0 eng 10.1007/BF02847903 doi (NATIONALLICENCE)springer-10.1007/BF02847903 Field localization and particle confinement effects on pair creation by Schwinger's mechanism [Elektronische Daten] [C Warke, R Bhalerao] Solutions of the Dirac equation in the presence of a static uniform electric fieldɛ in thez-direction and a linear confining potentialAz, are obtained. Generalized reflection and transmission coefficients are derived for such divergent potentials forɛ >A/e. The eigenspectrum and corresponding localized eigenfunctions forɛ <A/e are obtained from the reflection coefficient and the continuum solutions respectively. The rate for the electric field to decay into pairs is derived from the transmission coefficient. Neglecting nonabelian effects in quantum chromodynamics we identify the fieldɛ with a colour electric field and the produced particles with a quark and an antiquark. By considering a cylindrical geometry, we thus obtain a generalization of Schwinger's formula, for the fieldɛ in a finite spatial region with the quark (antiquark) being confined in thez direction by the linear potentialAz and in the perpendicular direction by the MIT bag boundary condition. The result is used to qualitatively study Schwinger's mechanism of quark-gluon plasma (QGP) formation in ultrarelativistic heavy ion collisions. It is found that the critical strength of the field required to create $$q\bar q$$ pairs is enhanced,ɛ c(A) >ɛ c(A = 0). The rate of pair creation for constantɛ, decreases for non-zeroA, implying longer QGP formation times. Because ofɛ c(A) >ɛ c(0), QGP is predicted to be formed in the early stages of the nuclear collision. The finite size effects and the MIT bag boundary condition effects on QGP formation are also discussed. the Indian Academy of Sciences, 1992 Pair creation in electric field nationallicence confinement nationallicence reflection and transmission coefficients nationallicence quark gluon plasma nationallicence 11·10 nationallicence 12·38 nationallicence 12·40 nationallicence Warke C. Theoretical Physics Group, Tata Institute of Fundamental Research, Homi Bhabha Road, 400 005, Bombay, India aut Bhalerao R. Theoretical Physics Group, Tata Institute of Fundamental Research, Homi Bhabha Road, 400 005, Bombay, India aut Pramana Springer India 38/1(1992-01-01), 37-49 0304-4289 38:1<37 1992 38 12043 https://doi.org/10.1007/BF02847903 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02847903 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Warke C. Theoretical Physics Group, Tata Institute of Fundamental Research, Homi Bhabha Road, 400 005, Bombay, India aut NATIONALLICENCE 700 1- Bhalerao R. Theoretical Physics Group, Tata Institute of Fundamental Research, Homi Bhabha Road, 400 005, Bombay, India aut NATIONALLICENCE 773 0- Pramana Springer India 38/1(1992-01-01), 37-49 0304-4289 38:1<37 1992 38 12043 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer